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Answer :
Sure, let's break down the problem step-by-step:
1. Understanding Earnings: Niall is paid [tex]$34 for every 2 hours of painting. To find out how much he earns per hour, we divide the total payment by the number of hours:
\[
\text{Hourly Rate} = \frac{34}{2} = 17 \text{ dollars per hour}
\]
2. Setting Up the Equation: We need to model an equation for the amount of money Niall will have after paying back his cousin. He owes $[/tex]187 to his cousin.
3. Forming the Equation:
- Let's use [tex]\( x \)[/tex] to represent the number of hours Niall spends painting.
- The earnings per hour are [tex]$17, so the total amount he earns after \( x \) hours is \( 17x \).
- After paying back his cousin, the amount of money Niall will have is:
\[
y = 17x - 187
\]
Therefore, the equation that models this scenario is:
- Option D: \( y = 17x - 187 \)
This means, after painting for \( x \) hours, Niall will have earned enough to repay his cousin $[/tex]187, and the remaining amount will be his.
1. Understanding Earnings: Niall is paid [tex]$34 for every 2 hours of painting. To find out how much he earns per hour, we divide the total payment by the number of hours:
\[
\text{Hourly Rate} = \frac{34}{2} = 17 \text{ dollars per hour}
\]
2. Setting Up the Equation: We need to model an equation for the amount of money Niall will have after paying back his cousin. He owes $[/tex]187 to his cousin.
3. Forming the Equation:
- Let's use [tex]\( x \)[/tex] to represent the number of hours Niall spends painting.
- The earnings per hour are [tex]$17, so the total amount he earns after \( x \) hours is \( 17x \).
- After paying back his cousin, the amount of money Niall will have is:
\[
y = 17x - 187
\]
Therefore, the equation that models this scenario is:
- Option D: \( y = 17x - 187 \)
This means, after painting for \( x \) hours, Niall will have earned enough to repay his cousin $[/tex]187, and the remaining amount will be his.
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